Abstract
A semi-analytical approach of nonlinear vibration of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) plates and cylindrical panels stiffened by longitudinal or transversal FG-CNTRC stiffeners by using the first-order shear deformation theory (FSDT) with the geometrical nonlinearities in von Kármán sense is reported in this paper. The novel smeared stiffener technique is improved for FG-CNTRC stiffeners according to the FSDT. The stress function is considered and the Galerkin method is used to formulate the nonlinear motion equation system, and dynamic responses of panels are obtained by using the fourth order Runge-Kutta method. Numerical investigations can show the very large effects of FG-CNTRC stiffeners, volume fraction of carbon nanotube, type of carbon nanotube distribution of panels and stiffeners with different geometrical parameters on the nonlinear vibration behaviors of stiffened FG-CNTRC plates and cylindrical panels.
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